1. (Euler’s method) First, work out the first three steps by hand. Then approximate y(2) for...

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1. (Euler’s method) First, work out the first three steps byhand. Then approximate y(2) for each of the initial value problemsusing Euler’s method, first with a step size of h = .1 and thenwith a step size of h = .05 using the Excel spreadsheet. (a) dy dx= 2xy, y(0) = 1 (b) dy dx = x ? y x + 2y , y(0) = 1 (c) dy dx = y +x, y(0) = 1 ignore the excell sheet portion

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